Answers
We have some function f(x) and want to evaluate the function for some value of x, in this case for x=8.
Evaluate a function means replace the x for the value you want to evaluate, in this case for 8, so:
[tex]\begin{gathered} f(x)=3(1-x) \\ f(8)=f(x=8)=3(1-8) \\ f(8)=3\cdot(-7)=-21 \end{gathered}[/tex]Related Questions
is 826,456 divisible by 8
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Answer:
Yes, because if you divide the two numbers, you get a whole number which means it is. Also, since the last numbers are 56, 8 can go into 56 so yes.
Step-by-step explanation:
Help asp show your work you’ll get brainliest
Answers
The information given in the table on the Value of a Car and the Age of the Car, gives;
First Part;
The dependent variable is; The Value of Car
The independent variable is; The Age of Car
Second part;
The situation is a function given that each Age of Car maps to only one Value of Car.
What is a dependent and a independent variable?A dependent variable is an output variable which is being observed, while an independent variable is the input variable which is known or controlled by the researcher.
First part;
The given information in the table is with regards to how the car's value decreases with time, therefore;
The dependent variable, which is the output variable, or the variable whose value is required is the current Value of the Car (Dollars)The independent variable, which is the input variable, or the variable that determines the value of the output or dependent variable, is the Age of Car (Years)Second part;
A function is a relationship in which each input value has exactly one output.
Given that the Values of the cars are all different, and no two car of a particular age has two values, therefore;
The situation is a functionGiven that the first difference varies depending on the age of the car, the function can be taken as a piecewise function
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Josh's grocery bill is $56.00 and the sales tax in his state is 7% how much extra does he have to pay? I assume 125?
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Given:
Josh's grocery bill is $56.00
The sales tax in his state is 7%
[tex]\begin{gathered} \text{Extra money he have to pay=56}\times\frac{7}{100} \\ \text{Extra money he have to pay=}\frac{392}{100} \\ \text{Extra money he have to pay= \$3.92} \end{gathered}[/tex]On total Josh has to pay $59.92
Josh has to pay extra money as tax is $3.92
the price of a lounge chair is $140 plus 7.5% sales tax.what is the sales tax on the lunge chair in dollors and cents
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Given that the price is $140 , and the tax rate is 7.5% (0.075 in decimal form)
we can find the amount in taxes by the product :
0.075 times 140
0.075 * 140 = 10.5
so $10.5 is the amount to be paid in taxes
[tex]undefined[/tex]y = 2x - 4 Find the solution/root/zero.
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The solution of the linear equation y = 2 · x - 4 is x = 2.
How to find the solution of a linear equationLinear equations are first order polynomials. In this problem we need to solve for x in a linear equation, this can be done by means of algebra properties. The complete procedure is shown below.
Step 1 - We find the find the following expression:
y = 2 · x - 4
Step 2 - We make y equal to zero and we use the symmetric property for equalities:
2 · x - 4 = 0
Step 3 - By compatibility with addition, existence of additive inverse, modulative, associative and commutative properties
2 · x = 4
Step 4 - By compatibility with multiplication, existence of multiplicative inverse and modulative, associative and commutative properties we get the following result:
x = 2
The solution of the linear equation is x = 2.
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Is my answer correct help please
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Answer:
Yes your answer is right !
Step-by-step explanation:
steps
X= 3 and y = 7
So first replace [tex]2^{x}[/tex] with [tex]2^{3}[/tex] an that will give you 8Then 8-Y and so you replace y with 7 and so it becomes
8-7 = 1So the correct answer is D (1)
Hope this helps
~~Wdfads~~
As you landscape a 4 leaf clover intersection, you will need to buy enough grass seed to cover all 4 circies. Each of the circles has the same diameter: 41 meters. Calculate the total area of all grass seed needed to cover all 4 circles.
Answers
SOLUTION
Each of the circles has the same diameter: 41 meters.
If the diameter = 41 meters
Then the Radius =
[tex]\frac{41}{2}\text{ m}[/tex]Then we need to find the total area of the 4 circles =
[tex]\begin{gathered} 4\text{ X }\pi r^2 \\ =\text{ 4 X }\frac{22}{7\text{ }}\text{ X }\frac{41}{2}\text{ X}\frac{41}{2} \\ =\text{ }5283\text{ }\frac{1}{7}m^2 \end{gathered}[/tex]CONCLUSION: The total area of all grass seeds needed to cover all 4 circles =
[tex]5283\text{ }\frac{1}{7}m^2[/tex]
Elaina started a savings account
with $3,000. The account earned
$10 each month in interest over a
5-year period. Find the interest
rate.
Answers
Using the simple interest formula, the rate of interest is 0.67%.
In the given question,
Elaina started a savings account with $3,000. The account earned $10 each month in interest over a 5-year period.
We have to find the interest rate.
The money that Elaina have in her account is $3000.
The interest that she earned = $10
The time period is 5 year,
We find the interest rate using he simple interest formula.
The formula of simple interest define by
I = P×R×T/100
where I is the interest.
P is principal amount.
R is rate of interest.
T is time period.
From the question, P = $3000, I = $10, T = 5
Now putting the value
10 = 3000×R×5/10
Simplifying
10 = 300×R×5
10 = 1500×R
Divide by 1500 on both side
10/1500 = 1500×R/1500
0.0067 = R
R = 0.0067
To express in percent we multiply and divide with 100.
R = 0.0067×100/100
R = 0.67%
Hence, the rate of interest is 0.67%.
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Evalue each expression for the given value(s) of the variable(s)exponents
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Any number raised to the power of zero equals 1, then
[tex]r^0s^{-2}=1\cdot s^{-2}=s^{-2}[/tex]then, we need to substitute the value 10 in the variable s. It yields,
[tex]s^{-2}=\frac{1}{s^2}\Rightarrow\frac{1}{10^2}=\frac{1}{100}[/tex]Then, the answer is
[tex]r^0s^{-2}=\frac{1}{s^2}\Rightarrow\frac{1}{100}[/tex]that is, 1 / 100.
On July 31, Oscar Jacobs checked out of the Sandy Beach hotel after spending four nights. The cost of the room was $76.90 per night. He wrote a check to pay for his four-night stay. What is the total amount of his check, expressed in words?
Answers
On July 31, Oscar Jacobs checked out of the Sandy Beach hotel after spending four nights. The cost of the room was $76.90 per night. He wrote a check to pay for his four-night stay. What is the total amount of his check, expressed in words?
step 1
Multiply $76.90 by 4
76.90*4=$307.6
so
expressed in words is
three hundred seven and six tenthsafter three tests, brandon has a test average of 90. after his fourth test, his average dropped to an 85. what did he score on his fourth test?
Answers
Answer:
70
Step-by-step explanation:
Average = Sum/Number of tests
90 = Sum/3 tests
Sum = 270
85 = 270 + test/4 tests
340 = 270 + test
70
following: Find the locus of points whose: ordinate is 1 greater than twice the abscissa
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ordinate is 1 greater than twice the abscissa :
[tex]\begin{gathered} x=abscissa \\ y=ordinate \\ y=2x+1 \end{gathered}[/tex]The length of a rectangle is 3in longer than its width.If the perimeter of the rectangle is62in , find its length and width.
Answers
We will have the following:
[tex]\begin{gathered} p=2(l+w) \\ \\ and \\ \\ l=w+3 \\ w=w \end{gathered}[/tex]So:
[tex]\begin{gathered} p=2(l+w)\Rightarrow p=2(w+3+w) \\ \\ \Rightarrow p=2(2w+3)\Rightarrow p=4w+6 \end{gathered}[/tex]Then we will have that:
[tex]\begin{gathered} 62=4w+6\Rightarrow4w=56 \\ \\ \Rightarrow w=14 \end{gathered}[/tex]So, the width is 14 inches and the length will then be 17 inches.
in a bag there are red and green balls in the ratio of 2:7. if there are 14 red balls,how many green balls are there
Answers
For the information given in the statement you have
[tex]\frac{\text{ number of red balls}}{\text{ number of green balls}}=\frac{2}{7}[/tex]Then
[tex]\frac{2}{7}=\frac{14\text{ red balls}}{x\text{ green balls}}[/tex]Solving for x
[tex]\begin{gathered} \frac{2}{7}=\frac{14}{x} \\ \text{ Apply cross multiplication} \\ 2\cdot x=14\cdot7 \\ 2x=98 \\ \text{ Divide by 2 into both sides of the equation} \\ 2x=\frac{98}{2} \\ x=49 \end{gathered}[/tex]Therefore, there are 49 green balls.
The picture below shows a pole and its shadow:
What is the height of the pole?
121 centimeters
220 centimeters
225 centimeters
231 centimeters
Answers
The height of the pole according to the attached image and parameters given is; 220 cm.
What is the height of the pole as required in the task content?It follows from the task content that the height of the pole is to be determined from the parameters given.
From observation, the triangle formed by the situation is a right triangle.
Hence, the height of the pole can be determined by Pythagoras theorem; where, c² = a² + b².
Therefore, we have;
221² = 21² + p²
p² = 48,841 - 21²
p² = 48,400
p = √48,400
p = 220.
On this note, the height of the pole is; 220 cm.
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Help - Classifying Quadrilaterals
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A square is all of these combined because each one could be a square, which means a square is each of these.
Answer:
A square is each of these because they may all be squares, hence a square is all of them.
Step-by-step explanation:
Describe a series of transformations that takes triangle ABC to triangle A’B’C’
Answers
Notice that if the triangle ABC is reflected over the X axis (red), and then reflected over the Y axis (green), we just would have to translate the triangle two units to the right (blue) to get A'B'C':
Can you help me solve my homework question I will follow along the steps
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Notice that both fractions have the same denominator, therefore, we can simply add the numerators:
[tex]\frac{-5a-3x-2a+9x}{6a}.[/tex]Adding like terms, we get:
[tex]\frac{-7a+6x}{6a}.[/tex]Answer: [tex]\begin{gathered} \frac{-7a+6x}{6a},\text{ or equivalently} \\ -\frac{7}{6}+\frac{x}{a}. \end{gathered}[/tex]If 16 is added to a number, the result is 35 less than twice the number. Find the number.
Answers
Let us represent the number as x:
16 is added to a number is represented as:
[tex]16+x[/tex]The result been 35 less than twice the number is represented as:
[tex]2x-35[/tex]Combining the above expression together to find the number will be:
[tex]16+x=2x-35[/tex]Simplifying further:
[tex]\begin{gathered} 16+35=2x-x \\ 51=x \\ \end{gathered}[/tex]The number, therefore, is 51
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y-3x=15
Answers
Answer:
[tex]y=x+5[/tex]
Step-by-step explanation:
[tex]3y-3x=15 \\ \\ y-x=5 \\ \\ y=x+5[/tex]
Tickets at the carnival cost 35 each.on Friday night the carnivals earned a total of 12,425 in ticket sales on Saturday night the ticket sales tripled sales from the night before many people attended To the carnival on both nights
Answers
ticket sale on Saturday night is triple the ticket sale on Friday night.
Therefore
ticket sales on Saturday night = 3 x 12425 = 37275
Then
ticket sales for both nights = 12425 + 37275 = 49700
A ticket costs 35.
Let the number of people that attended the carnival on both nights be n.
Then, we have
[tex]\begin{gathered} 35n=49700 \\ \Rightarrow n=\frac{49700}{35}=1420 \end{gathered}[/tex]Therefore 1420 people attended the carnival on both nights
Factor the expression. 12y + 14
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Answer:
2(6y+7)
Explanation:
To factor the expression:
[tex]12y+14[/tex]First, find the greatest whole number that divides 12 and 14.
The number = 2, therefore:
[tex]\begin{gathered} 12y+14=2\mleft(\frac{12y}{2}+\frac{14}{2}\mright) \\ =2(6y+7) \end{gathered}[/tex]For what values of a are the following expressions true?/a+5/=-5-a
Answers
Explanation:
The expression is given below as
[tex]|a+5|=-5-a[/tex]Concept:
We will apply the bsolute rule below
[tex]\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}[/tex]By applying the concept, we will have
[tex]\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}[/tex]Hence,
The final answer is
[tex]a\leq-5[/tex]Sharel spent the day at the mall. First, she bought five phones for $35each. Later, she found two five dollar bills. Write the total change to
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if Sharel bought 5 phenes for 35 each, se spent 5 times 35 = $175
And when she found two $5 bills, it is like she received 2 times 5 = $10
Normally, expenses are negative numbers and earning are positive numbers, in this case
-$175 + $10 = - $165
Sothe answer is -165
Which has quotient of 0.5
Answers
An example of a fraction that has a quotient of 0.5 is 2/4.
What is a quotient?A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio.
In mathematics, the quotient is the number that is produced when two integers are divided. It is essentially the outcome of the division procedure. In arithmetic division, four primary terms are used: divisor, dividend, quotient, and remainder.
In this case, 2/4 = 0.5. This is the quotient.
Note that the information is incomplete and.an overview was given.
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create an original function that has at least one asymptote and possibly a removable discontinuity list these features of your function: asymptote(s) (vertical horizontal slant) removable discontinuity(ies) x intercept(s) y intercept and end behavior provide any other details that would enable another student to graph and determine the equation for your function do not state your function
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We have to create a function that has at least one asymptote and one removable discontinuity (a "hole").
We then have to list the type of feature.
We can start with a function like y = 1/x. This function will have a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.
We can translate it one unit up and one unit to the right and write the equation as:
[tex]y=\frac{1}{x-1}+1=\frac{1}{x-1}+\frac{x-1}{x-1}=\frac{x}{x-1}[/tex]Then, the asymptotes will be x = 1 and y = 1. We have at least one asymptote for this function.
We can now add a removable discontinuity. This type of discontinuity is one that is present in the original equation but, when factorizing numerator and denominator, it can be cancelled. This happens when both the numerator and denominator have a common root: the rational function can be simplified, but the root is still present in the original expression.
We than can add a removable discontinuity to the expression by multiplying both the numerator and denominator by a common factor, like (x-2). This will add a removable discontinuity at x = 2.
We can do it as:
[tex]y=\frac{x(x-2)}{(x-1)(x-2)}=\frac{x^2-2x}{x^2-3x+2}[/tex]This will have the same shape as y =x/(x-1) but with a hole at x = 2, as the function can not take a value that makes the denominator become 0, so it is not defined for x = 2.
Finally, we can find the x and y intercepts.
The y-intercepts happens when x = 0, so we can calculate it as:
[tex]\begin{gathered} f(x)=\frac{x^2-2x}{x^2-3x+2} \\ f(0)=\frac{0^2-2\cdot0}{0^2-3\cdot0+2}=\frac{0}{2}=0 \end{gathered}[/tex]The y-intercept is y = 0, with the function passing through the point (0,0).
As the x-intercept is the value of x when y = 0, we already know that the x-intercept is x = 0, as the function pass through (0,0).
Then, we can list the features as:
Asymptotes: Vertical asymptote at x = 1 and horizontal asymptote at y = 1.
Removable discontinuity: x = 2.
y-intercept: y = 0.
End behaviour: the function tends to y = 1 when x approaches infinity or minus infinity.
With that information, the function can be graphed.
I need a math tutor asap .
Answers
For this exercise you need to remember that a Cube is a solid whose volume can be calculated using the following formula:
[tex]V=s^3[/tex]Where "V" is the volume of the cube and "s" is the length of any edge of the cube (because all the edges of a cube have the same length).
For example, if you have a cube and you know that:
[tex]s=5\operatorname{cm}[/tex]You can substitute this value into the formula and then evaluate, in order to find the volume of the cube. This would be:
[tex]\begin{gathered} V=(5\operatorname{cm})^3 \\ V=125\operatorname{cm}^3 \end{gathered}[/tex]The answer is:
You can find it using the formula
[tex]V=s^3[/tex]Where "s" is the length of any edge of the cube
If z = 12.8, what's is the value of 2(z - 4)?
Answers
The given expression is
[tex]2(z-4)[/tex]Let's replace z = 12.8.
[tex]2(12.8-4)=2(8.8)=17.6[/tex]Therefore, the value is 17.6.find the following quantity. Do not round your answers 5.4% of 900
Answers
The question asks us to find 5.4% of 900.
Percentage is expressed in terms of 100.
5.4% of 900 would be written as
5.4/100 * 900
= 48.6
5.4% of 900 is 48.6
A store had 896 swimsuits that were marked to sale at $44.95/swimsuit. Each suit was marked down $16.90. Find the reduced price using the formula M = S - N, where M is the markdown, S is the original selling price, and N is the reduced price. The reduced price is ?
Answers
Given:
The original selling price of 1 swimsuit = $44.95
The selling price of 1 marked down swimsuit = $16.90
Using the provided formula:
[tex]M\text{ = S - N}[/tex]Where,
M is the markdown
S is the original selling price
N is the reduced price
Substituting we have:
[tex]16.90\text{ = 44.95 - N }[/tex]Solving for N:
[tex]\begin{gathered} \text{Collect like terms} \\ -N\text{ = 16.90 - 44.95} \\ -N\text{ = -28.05} \\ \text{Divide both sides by -1} \\ \frac{-N}{-1}=\text{ }\frac{-28.05}{-1} \\ N\text{ = 28.05} \end{gathered}[/tex]Hence, the reduced price is $28.05
Answer:
$28.05
